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Há 4 dias · In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part 1 2. Many consider it to be the most important unsolved problem in pure mathematics. [1]
1 de jul. de 2024 · Some biographies of past contributors to number theory. A glance at Paulo Ribenboim's Fermat's Last Theorem for amateurs, Franz Lemmermeyer's Reciprocity Laws and L.E. Dickson's History of the Theory of Numbers, reveals the existence of many past number theorists about whom little is known.
2 de jul. de 2024 · Eduardo Cattani∗, Pierre Deligne, and Aroldo Kaplan∗ 1. Introduction Let S be a complex algebraic variety and {Xs}s∈S a family of non singular projective varieties parametrized by S: the Xs are the fibers of f : X → S, with X projective and smooth over S. Fix s ∈ S, an integer p, and a class h ∈ H2p(Xs,Z) of Hodge type ...
2 de jul. de 2024 · Deligne conjecture: any one of numerous named for Pierre Deligne. Deligne's conjecture on Hochschild cohomology about the operadic structure on Hochschild cochain complex . Dixmier conjecture : any endomorphism of a Weyl algebra is an automorphism .
25 de jun. de 2024 · The generalized Riemann hypothesis was the last to surrender, being established by the Belgian Pierre Deligne in the early 1970s. Strangely, its resolution still leaves the original Riemann hypothesis unsolved.
14 de jun. de 2024 · Abstract: Deligne cohomology is a refined cohomology theory for complex manifolds, known in number theory for its role both in Arakelov geometry and in Beilinson's conjectures on special values of L-functions.
Há 2 dias · One of the major results building on the results in SGA is Pierre Deligne's proof of the last of the open Weil conjectures in the early 1970s. Other authors who worked on one or several volumes of SGA include Michel Raynaud, Michael Artin, Jean-Pierre Serre, Jean-Louis Verdier, Pierre Deligne, and Nicholas Katz. Number theory
